$$ \begin{aligned} 2(x+6)+3(4x-4) &= 3(x-6)&& \text{simplify left and right hand side} \\[1 em]2x+12+12x-12 &= 3x-18&& \\[1 em]14x &= 3x-18&& \text{move the $ \color{blue}{ 3x } $ to the left side} \\[1 em]14x-3x &= -18&& \text{simplify left side} \\[1 em]11x &= -18&& \text{ divide both sides by $ 11 $ } \\[1 em]x &= -\frac{18}{11}&& \\[1 em] \end{aligned} $$

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